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212400123 = 31320032719
BaseRepresentation
bin11001010100011…
…11011111111011
3112210200001012020
430222033133323
5413333300443
633024245523
75156241225
oct1452173773
9483601166
10212400123
11a99923a1
125b1708a3
1335009460
14202cd415
15139a8583
hexca8f7fb

212400123 has 16 divisors (see below), whose sum is σ = 305249280. Its totient is φ = 130594464.

The previous prime is 212400113. The next prime is 212400157. The reversal of 212400123 is 321004212.

It is not a de Polignac number, because 212400123 - 217 = 212269051 is a prime.

It is a super-2 number, since 2×2124001232 = 90227624500830258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212400103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76758 + ... + 79476.

It is an arithmetic number, because the mean of its divisors is an integer number (19078080).

Almost surely, 2212400123 is an apocalyptic number.

212400123 is a deficient number, since it is larger than the sum of its proper divisors (92849157).

212400123 is a wasteful number, since it uses less digits than its factorization.

212400123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212400123 is about 14573.9535816470. The cubic root of 212400123 is about 596.6480899237.

Adding to 212400123 its reverse (321004212), we get a palindrome (533404335).

The spelling of 212400123 in words is "two hundred twelve million, four hundred thousand, one hundred twenty-three".

Divisors: 1 3 13 39 2003 2719 6009 8157 26039 35347 78117 106041 5446157 16338471 70800041 212400123